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Finding the Fourth Proportional to 3,430.95, 4,734.63 and 2,251.95

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Solution

The fourth proportional to 3,430.95, 4,734.63 and 2,251.95 is: 3,107.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.95 : 4,734.63 = 2,251.95 : x
  2. Step 2: Convert to fraction form
    3,430.95/4,734.63 = 2,251.95/x
  3. Step 3: Cross multiply
    3,430.95x = 4,734.63 × 2,251.95
  4. Step 4: Simplify right side
    3,430.95x = 10,662,150.03
  5. Step 5: Solve for x
    x = 10,662,150.03/3,430.95
  6. Step 6: Final answer
    x = 3,107.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.